# How do you sketch the graph #y=x^4-2x^3+2x# using the first and second derivatives?

##### 1 Answer

Jun 12, 2018

See process below

#### Explanation:

1.- Domain is

2.- Analyze the roots of equation

Notice that

3.- First derivative

Analyze the sign of derivative.

Then function is increasing in

Derivative is zero in

A sketch is presented below